World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
3601
World Ranking
3536
National Ranking
218

Martin Vohralík publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Martin Vohralík sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 132 publications — 28th percentile

28% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Martin Vohralík D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Martin Vohralík sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Martin Vohralík is affiliated with the French Institute for Research in Computer Science and Automation (INRIA) in France. Their research spans multiple fields within engineering and computer science, with a primary focus on advanced numerical methods and computational mathematics. The main fields of study include:

  • Engineering
  • Computer Science

Within these fields, the scientist's subfields of study emphasize:

  • Computational Mechanics
  • Computational Theory and Mathematics
  • Mechanics of Materials
  • Numerical Analysis
  • Mathematical Physics

Their work covers a variety of topics, highlighting specialization in:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Advanced Mathematical Modeling in Engineering
  • Computational Fluid Dynamics and Aerodynamics
  • Matrix Theory and Algorithms
  • Numerical methods for differential equations
  • Numerical methods in inverse problems

Martin Vohralík has published papers in a range of journals and conferences. The frequent venues include:

  • arXiv (Cornell University)
  • Mathematics of Computation
  • Computer Methods in Applied Mechanics and Engineering
  • SIAM Journal on Numerical Analysis
  • IMA Journal of Numerical Analysis

Notable recent papers include:

  • Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver, 2021, Numerische Mathematik
  • Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H (div), 2021, IMA Journal of Numerical Analysis
  • Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters, 2020, Mathematics of Computation
  • Sharp algebraic and total a posteriori error bounds for h and p finite elements via a multilevel approach. Recovering mass balance in any situation, 2020, Computer Methods in Applied Mechanics and Engineering
  • Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction-diffusion problems, 2020, ESAIM Mathematical Modelling and Numerical Analysis

Martin Vohralík collaborates frequently with several researchers, including:

  • Théophile Chaumont-Frelet
  • Alexandre Ern
  • Jan Papež
  • Ani Miraçi
  • Ivan Yotov

Best Publications

  • Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations

    Alexandre Ern;Martin Vohralík

  • A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations

    Martin Vohralík

  • Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs

    Alexandre Ern;Martin Vohralík

  • Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems

    Alexandre Ern;Annette F. Stephansen;Martin Vohralík

  • A combined finite volume–nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems

    Robert Eymard;Danielle Hilhorst;Martin Vohralík

  • A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers

    Pavel Jiránek;Zdeněk Strakoš;Martin Vohralík

  • An accurate H(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems

    Alexandre Ern;Serge Nicaise;Martin Vohralík

  • A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation

    Alexandre Ern;Martin Vohralík

  • Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems

    Linda El Alaoui;Alexandre Ern;Martin Vohralík

  • Numerical simulation of fracture flow with a mixed-hybrid FEM stochastic discrete fracture network model

    Jiří Maryška;Otto Severýn;Martin Vohralík;Martin Vohralík

  • Guaranteed and Fully Robust a posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients

    Martin Vohralík

  • On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1

    Martin Vohralík

  • Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods

    Martin Vohralík

  • A unified framework for a posteriori error estimation for the Stokes problem

    Antti Hannukainen;Rolf Stenberg;Martin Vohralík

  • MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS

    Martin Vohralík;Barbara I. Wohlmuth

  • Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods

    Martin Vohralík

  • $hp$-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems

    Vít Dolejší;Alexandre Ern;Martin Vohralík

  • A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows

    Martin Vohralík;Martin Vohralík;Mary F. Wheeler

  • Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes

    Martin Vohralík;Martin Vohralík

  • An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow

    Clément Cancès;Iuliu Sorin Pop;Martin Vohralík;Martin Vohralík

  • Numerical Analysis An accurate H(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems

    Alexandre Ern;Serge Nicaise;Martin Vohralík

Frequent Co-Authors

Alexandre Ern
Alexandre Ern École des Ponts ParisTech
Yvon Maday
Yvon Maday Sorbonne University
Eric Cancès
Eric Cancès École des Ponts ParisTech
Barbara Wohlmuth
Barbara Wohlmuth Technical University of Munich
Robert Eymard
Robert Eymard University of Paris-Est
Patrick Ciarlet
Patrick Ciarlet École Nationale Supérieure de Techniques Avancées
Serge Nicaise
Serge Nicaise University Polytechnic Hauts-de-France
Mary F. Wheeler
Mary F. Wheeler The University of Texas at Austin
Ioan Pop
Ioan Pop Karlsruhe Institute of Technology

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